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cos(x)*cos(x/2)*cos(x/4)*cos(x/8).cos(x/(2^(n-1))
题目详情
cos(x)*cos(x/2)*cos(x/4)*cos(x/8).cos(x/(2^(n-1))
▼优质解答
答案和解析
cos(x)*cos(x/2)*cos(x/4)*cos(x/8).cos(x/(2^(n-1))
=cos(x)*cos(x/2)*cos(x/4)*cos(x/8).cos(x/(2^(n-1))sin(x/(2^(n-1)) /sin(x/2^(n-1))
=cos(x)*cos(x/2)*cos(x/4)*cos(x/8).sin(x/(2^(n-2)) /2sin(x/2^(n-1))
=...
=cos(x)*cos(x/2)*cos(x/4)*cos(x/8)sin(x/8) /2^(n-4)*sin(x/2^(n-1))
=cos(x)*cos(x/2)*cos(x/4)sin(x/4) /2^(n-3)*sin(x/2^(n-1))
=cos(x)*cos(x/2)*sin(x/2) /2^(n-2)*sin(x/2^(n-1))
=cos(x)*sin(x) /2^(n-1)sin(x/2^(n-1))
=sin(2x) / [2^nsin(x/2^(n-1))]
=cos(x)*cos(x/2)*cos(x/4)*cos(x/8).cos(x/(2^(n-1))sin(x/(2^(n-1)) /sin(x/2^(n-1))
=cos(x)*cos(x/2)*cos(x/4)*cos(x/8).sin(x/(2^(n-2)) /2sin(x/2^(n-1))
=...
=cos(x)*cos(x/2)*cos(x/4)*cos(x/8)sin(x/8) /2^(n-4)*sin(x/2^(n-1))
=cos(x)*cos(x/2)*cos(x/4)sin(x/4) /2^(n-3)*sin(x/2^(n-1))
=cos(x)*cos(x/2)*sin(x/2) /2^(n-2)*sin(x/2^(n-1))
=cos(x)*sin(x) /2^(n-1)sin(x/2^(n-1))
=sin(2x) / [2^nsin(x/2^(n-1))]
看了 cos(x)*cos(x/2...的网友还看了以下：